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Finding the Third Proportional to 1,071,666 and 2,311,592.25

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Solution

The third proportional to 1,071,666 and 2,311,592.25 is: 4,986,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,666 : 2,311,592.25 = 2,311,592.25 : x
  2. Step 2: Convert to fraction form
    1,071,666/2,311,592.25 = 2,311,592.25/x
  3. Step 3: Cross multiply
    1,071,666x = 2,311,592.25 × 2,311,592.25
  4. Step 4: Simplify right side
    1,071,666x = 5,343,458,730,260.06
  5. Step 5: Solve for x
    x = 5,343,458,730,260.06/1,071,666
  6. Step 6: Final answer
    x = 4,986,123.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.